Smooth projective horospherical varieties of Picard group $\mathbb{Z}^2$

Boris Pasquier (1)

1 LMA [Poitiers] - Laboratoire de mathématiques et applications [UMR 7348]

We classify all smooth projective horospherical varieties of Picard group $\mathbb{Z}^2$ and we give a first description of their geometry via the Log Minimal Model Program.

Mots clés: Log Minimal Model Program; Horospherical varieties; Projective varieties with small Picard group

Domaines: Géométrie algébrique [math.AG]

Boris Pasquier. Smooth projective horospherical varieties of Picard group $\mathbb{Z}^2$. Épijournal de Géométrie Algébrique, 2020, Épijournal de Géométrie Algébrique, volume 4 (2020), Article no. 4, Volume 4 (4), ⟨10.46298/epiga.2020.volume4.5090⟩. ⟨hal-01944408v5⟩